The gravitational field in a region is given by →E=5N/kg^i+12N/kg^j. The change in the gravitational potential energy of a particle of mass 2kg when it is taken from the origin to a point (7m,−3m) is :
A
71J
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B
13√58J
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C
−71J
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D
−2J
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Solution
The correct option is D−2J The potential at a given point as , V = ∫Edx Thus, V=(5i+12j).(7i−3j) V=35−36=−1 Thus, the change in potential energy is mV=−2J